Pith Number

pith:VFIWLDD6

pith:2012:VFIWLDD65FUXXAU5JRYPPZEF32

not attested not anchored not stored refs pending

Le syst\`eme d'Euler de Kato

Shanwen Wang

arxiv:1211.3767 v1 · 2012-11-15 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFIWLDD65FUXXAU5JRYPPZEF32}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:40:38.068250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a951658c7ee9697b829d4c70f7e485dea151e7eb3ccc757e59fb614d21479db4

Aliases

arxiv: 1211.3767 · arxiv_version: 1211.3767v1 · doi: 10.48550/arxiv.1211.3767 · pith_short_12: VFIWLDD65FUX · pith_short_16: VFIWLDD65FUXXAU5 · pith_short_8: VFIWLDD6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VFIWLDD65FUXXAU5JRYPPZEF32 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a951658c7ee9697b829d4c70f7e485dea151e7eb3ccc757e59fb614d21479db4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fb951b48637f8b06f912b441e6b295a17487755519ebddcb286e618d269e089",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-15T22:09:43Z",
    "title_canon_sha256": "f7a7adedd289c423a5e6f8ee57b8b2efa7295b5a0f2bee98f1c455bdb3faeb14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3767",
    "kind": "arxiv",
    "version": 1
  }
}